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    • Question

      A boat covers 36 km downstream in 3 hours and 24 km

      upstream in 4 hours. Find the speed of the boat in still water and the speed of the stream.
      A 11 km/h and 2 km/h Correct Answer Incorrect Answer
      B 7 km/h and 1 km/h Correct Answer Incorrect Answer
      C 9 km/h and 3 km/h Correct Answer Incorrect Answer
      D 5 km/h and 3 km/h Correct Answer Incorrect Answer

      Solution

      Downstream speed = 36/3 = 12 km/h Upstream speed = 24/4 = 6 km/h Let boat speed in still water = u, stream speed = v. u + v = 12 u − v = 6 Add: 2u = 18 ⇒ u = 9 km/h Then v = 12 − 9 = 3 km/h Answer: Boat speed = 9 km/h, Stream speed = 3 km/h.

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